Answer:
You have to simplify vertex form to convert it to standard form. The same thing applies to intercept form.
Explanation:
Vertex form: y = a(x-h)^2 + k.
Let's say a = 2, h = 3, and k = 4. (y = 2(x-3)^2 + 4)
If we expand that, we get y = 2(x^2-6x+9) + 4; this further simplifies to y = 2x^2-12x+22. Our answer is in standard form now.
Intercept form: y = a(x-p)(x-q)
Let's say a = 2, p = 3, and q = 4. (y = 2(x-3)(x-4))
All we have to do is multiply the equation out.
y = 2(x^2-7x+12); y = 2x^2 - 14x + 24. This is standard form.
Hope this helped! (its very messy)